Partial Differential Equations: Waves, Nonlinearities and Nonlocalities: The Abel Symposium 2023

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Mats Ehrnström Helge Holden

Partial Differential Equations

Waves, Nonlinearities and Nonlocalities: The Abel Symposium 2023

Mats Ehrnström, Helge Holden, Espen R. Jakobsen

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English

Springer International Publishing AG
23 August 2025

Differential calculus & equations; Numerical analysis; Mathematical physics

Series: Abel Symposia

This volume in the renowned Abel Symposia series contains the peer-reviewed proceedings of the Abel Symposium 2023 on Partial Differential Equations: Waves, Nonlinearities and Nonlocalities, held at Bårdshaug Mansion in Orkanger outside Trondheim, Norway, June 13–16, 2023.

Research in nonlinear partial differential equations has been undergoing an intense development, with new phenomena modelled by increasingly complicated systems integrating nonlocal effects, and with the solution of previously unsolved problems, such as the Onsager conjecture. Comprising fifteen articles written by leading researchers, covering a wide range of topics, this book takes readers to the forefront of a highly active subject.

Edited by: Mats Ehrnström, Helge Holden, Espen R. Jakobsen
Imprint: Springer International Publishing AG
Country of Publication: Switzerland
Volume: 18
Dimensions: Height: 235mm, Width: 155mm,
ISBN: 9783031912818
ISBN 10: 3031912810
Series: Abel Symposia
Pages: 347
Publication Date: 23 August 2025
Audience: Professional and scholarly , College/higher education , Undergraduate , Further / Higher Education
Format: Hardback
Publisher's Status: Active

1 Paralinearization of free boundary problems in fluid dynamics.- 2 Stable stratospheric flows.- 3 Nonlinear forward-backward problems.- 4 The Benjamin–Ono equation on the line: Explicit formula and small dispersion limit.- 5 Almost sharp rates of convergence for the average cost and displacement in the optimal matching problem.- 6 Incompressible limit of porous media equation with chemotaxis and growth.- 7 On a quasi-resonant nonlinear Schrödinger equation on irrational tori.- 8 The global well-posedness conjecture for 1D cubic dispersive equations.- 9 Regularity of trajectories and smooth observables in rough Euler flows.-10 On continuous time bubbling for the harmonic map heat flow in two dimensions.- 11 A Short Primer on the Calogero–Moser Derivative NLS.- 12 Area Variations under pointwise Lagrangian and Legendrian Constraints.- 13 Wave Turbulence: A statistical theory of weakly nonlinear dispersive waves.- 14 Well-posedness and long time behavior of the Euler Alignment System with adaptive communication strength.- 15 The quartic integrability and long time existence of water waves in 2D.